Weis and Hutter (J. Fluid Mech. vol.476, 2003, p.63 ) proposed a Euclidean-objective weak-equilibrium condition for the algebraic Reynolds stress model (ARSM). However, Gatski and Wallin (J. Fluid Mech. vol.518, 2004, p.147) pointed out that the weak-equilibrium condition proposed is not correct for actual rotating flows and showed that a non-objective weak-equilibrium condition extended to curved and rotating flows should be assumed. In this paper, it is shown that a frame-invariant model expression for the Reynolds stress is desirable as a general model. The extended weak-equilibrium condition of Gatski and Wallin is reexamined to show that it is in fact objective and it does not contradict the frame-invariance of the model expression for the Reynolds stress. [This abstract is not included in the PDF]
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